.67(x+6)=x-5

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Solution for .67(x+6)=x-5 equation: 


Simplifying
0.67(x + 6) = x + -5

Reorder the terms:
0.67(6 + x) = x + -5
(6 * 0.67 + x * 0.67) = x + -5
(4.02 + 0.67x) = x + -5

Reorder the terms:
4.02 + 0.67x = -5 + x

Solving
4.02 + 0.67x = -5 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
4.02 + 0.67x + -1x = -5 + x + -1x

Combine like terms: 0.67x + -1x = -0.33x
4.02 + -0.33x = -5 + x + -1x

Combine like terms: x + -1x = 0
4.02 + -0.33x = -5 + 0
4.02 + -0.33x = -5

Add '-4.02' to each side of the equation.
4.02 + -4.02 + -0.33x = -5 + -4.02

Combine like terms: 4.02 + -4.02 = 0.00
0.00 + -0.33x = -5 + -4.02
-0.33x = -5 + -4.02

Combine like terms: -5 + -4.02 = -9.02
-0.33x = -9.02

Divide each side by '-0.33'.
x = 27.33333333

Simplifying
x = 27.33333333

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